Surfing was a sport in which one tried to ride waves using a surfboard.
In Los Angeles in 1996 people could be seen carrying McCoy and McTavish surfboards. (VOY: "Future's End")
In 2370, the USS Enterprise-D was able to clear a subspace rift in the Hekaras Corridor by riding the a distortion wave in a fashion similar to surfing. (TNG: "Force of Nature")
Tom Paris decided on a Big Daddy-O Surf Special Hawaiian shirt for a Luau, in 2373. (VOY: "Alter Ego")